Unspecified Yuan Li Profile

Yuan Li

at Xi'an Univ of Posts

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Proceedings Article | 1 November 2021 Paper

End-to-end algorithm for absolute phase retrieval

Jin Lu, Yuan Li, Jian Xu, Fu Wang, Xiao Sun

Proceedings Volume 12057, 120574G (2021) https://doi.org/10.1117/12.2606949

KEYWORDS: Fringe analysis, Phase shifts, Phase retrieval, Projection systems, Fourier transforms

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Absolute phase plays a very important role for many applications. At present, various techniques have been exhaustively developed for absolute phase recovery. There are three major categories: spatial phase unwrapping, temporal phase unwrapping and deep learning techniques. Analyzing from these methods, a commonality is limited into the procedure of absolute phase recovery. Namely, the conventional algorithms yield to calculate wrapped phase, fringe order and absolute phase in turn. There is a closer dependency between the accuracy of the previous results and the next ones. So more serious errors could accumulate from this computation procedure, meanwhile the recovery speed is decreased. For this reason, we present an end-to-end method to obtain the absolute phase maps by projecting only two-step specially intensity-coded fringe patterns. Unlike the above-mentioned techniques, we can not only compute the wrapped phases from two fringe images, but also decode the corresponding fringe orders simultaneously from two fringe images without any additional patterns. The presented method breaks the limitation and simplifies the procedure of phase unwrapping. Simulations have been carried out to validate the feasibility of the proposed method.

Proceedings Article | 28 February 2021 Paper

Geometric analysis and new discoveries for phase-shifting algorithms based on the orthogonal resolution and resultant of forces

Jin Lu, Yuan Li, Xian G. Kong, Hui B. Sun, Xiao G. Sun

Proceedings Volume 11781, 1178105 (2021) https://doi.org/10.1117/12.2591118

Read Abstract +

In fringe projection profilometry, the wrapped phase extraction is an essential process for absolute phase unwrapping and even the computation of object height information. Over the past few decades, tremendous efforts have been devoted to developing various techniques for computing wrapped phase. By contrast, the phase-shifting techniques process more advantages including higher accuracy, higher spatial resolution, and lower sensitivity to variations of background intensity and surface reflectivity. At present, a variety of phase-shifting algorithms show the comprehensive mathematical deduction and their theories are very clear. Analysis from the perspective of theoretical integrity, however, the phase-shifting techniques lack the exploration of geometric algebra. For that reason, inspired by the orthogonal resolution and resultant of forces in physics, we present a geometric analysis method. Furthermore, exploiting the proposed method to explore the double three-step algorithm, four-step algorithm and extended averaging technique, we obtain three new discoveries. Simulations and experiments have been carried out to verify the performance of these new discoveries. In addition, these results also reflect the necessity of the geometric analysis method for phase-shifting techniques.

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